arXiv Analytics

Sign in

arXiv:1407.8367 [math-ph]AbstractReferencesReviewsResources

Symmetry analysis and exact solutions of one class of (1+3)-dimensional boundary-value problems of the Stefan type

S. S. Kovalenko

Published 2014-07-31Version 1

We present the group classification of one class of (1+3)-dimensional nonlinear boundary-value problems of the Stefan type that simulate the processes of melting and evaporation of metals. The results obtained are used for the construction of the exact solution of one boundary-value problem from the class under study.

Comments: Published version
Journal: Ukr. Math. J. 63 (2012) 1534--1542
Categories: math-ph, math.MP
Subjects: 22E70, 35K61, 80A22
Related articles: Most relevant | Search more
arXiv:1011.6630 [math-ph] (Published 2010-11-30)
An Exact Solution of the 3-D Navier-Stokes Equation
arXiv:2403.19959 [math-ph] (Published 2024-03-29)
Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients
arXiv:1403.6938 [math-ph] (Published 2014-03-27)
Exact Solution of a Spin-$\frac{1}{2}$ Particle for a Linear Potential

Links

Toolbox